Semiclassical description of wave packet revival

Autores
Toscano, Fabricio; Vallejos, Raúl O.; Wisniacki, Diego Ariel
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times.
Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; Brasil
Fil: Vallejos, Raúl O.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
Quantum Revivals
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/60740
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Semiclassical description of wave packet revivalToscano, FabricioVallejos, Raúl O.Wisniacki, Diego ArielQuantum Revivalshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times.Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; BrasilFil: Vallejos, Raúl O.. Centro Brasileiro de Pesquisas Físicas; BrasilFil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaAmerican Physical Society2009-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60740Toscano, Fabricio; Vallejos, Raúl O.; Wisniacki, Diego Ariel; Semiclassical description of wave packet revival; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 80; 4; 11-2009; 462181-4621891539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.80.046218info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.80.046218info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:52:12Zoai:ri.conicet.gov.ar:11336/60740instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:52:12.892CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Semiclassical description of wave packet revival
title Semiclassical description of wave packet revival
spellingShingle Semiclassical description of wave packet revival
Toscano, Fabricio
Quantum Revivals
title_short Semiclassical description of wave packet revival
title_full Semiclassical description of wave packet revival
title_fullStr Semiclassical description of wave packet revival
title_full_unstemmed Semiclassical description of wave packet revival
title_sort Semiclassical description of wave packet revival
dc.creator.none.fl_str_mv Toscano, Fabricio
Vallejos, Raúl O.
Wisniacki, Diego Ariel
author Toscano, Fabricio
author_facet Toscano, Fabricio
Vallejos, Raúl O.
Wisniacki, Diego Ariel
author_role author
author2 Vallejos, Raúl O.
Wisniacki, Diego Ariel
author2_role author
author
dc.subject.none.fl_str_mv Quantum Revivals
topic Quantum Revivals
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times.
Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; Brasil
Fil: Vallejos, Raúl O.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description We test the ability of semiclassical theory to describe quantitatively the revival of quantum wave packets-a long time phenomena-in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are considered: time-dependent WKB and Van Vleck propagation. We show that both approaches describe with impressive accuracy the autocorrelation function and wave function up to times longer than the revival time. Moreover, in the Van Vleck approach, we can show analytically that the range of agreement extends to arbitrary long times.
publishDate 2009
dc.date.none.fl_str_mv 2009-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/60740
Toscano, Fabricio; Vallejos, Raúl O.; Wisniacki, Diego Ariel; Semiclassical description of wave packet revival; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 80; 4; 11-2009; 462181-462189
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60740
identifier_str_mv Toscano, Fabricio; Vallejos, Raúl O.; Wisniacki, Diego Ariel; Semiclassical description of wave packet revival; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 80; 4; 11-2009; 462181-462189
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.80.046218
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.80.046218
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613601982152704
score 13.070432

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